100155383186040 has 3072 divisors, whose sum is σ = 455258361600000. Its totient is φ = 19348459683840.

The previous prime is 100155383186029. The next prime is 100155383186063. The reversal of 100155383186040 is 40681383551001.

100155383186040 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 5 + 5 + 3 + 8 + 31 + 8 + 604 + 0 = 666.

It is a super-2 number, since 2×100155383186040² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 47043391696 + ... + 47043393824.

It is an arithmetic number, because the mean of its divisors is an integer number (148196081250).

Almost surely, 2^{100155383186040} is an apocalyptic number.

100155383186040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100155383186040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227629180800000).

100155383186040 is an abundant number, since it is smaller than the sum of its proper divisors (355102978413960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100155383186040 is a wasteful number, since it uses less digits than its factorization.

100155383186040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 100155383186040 in words is "one hundred trillion, one hundred fifty-five billion, three hundred eighty-three million, one hundred eighty-six thousand, forty".